What is the Least Common Multiple of 5946 and 5961?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5946 and 5961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5946 and 5961, than apply into the LCM equation.

GCF(5946,5961) = 3
LCM(5946,5961) = ( 5946 × 5961) / 3
LCM(5946,5961) = 35444106 / 3
LCM(5946,5961) = 11814702

Least Common Multiple (LCM) of 5946 and 5961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5946 and 5961. First we will calculate the prime factors of 5946 and 5961.

Prime Factorization of 5946

Prime Factorization of 5961

Now multiplying the highest exponent prime factors to calculate the LCM of 5946 and 5961.

LCM(5946,5961) = 2¹ × 3¹ × 991¹ × 1987¹
LCM(5946,5961) = 11814702